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Vandermonde type determinants and blossoming

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Publication:1128319
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DOI10.1023/A:1018956616288zbMath0906.65014MaRDI QIDQ1128319

Marie-Laurence Mazure

Publication date: 14 February 1999

Published in: Advances in Computational Mathematics (Search for Journal in Brave)


zbMATH Keywords

curveBézier pointsblossomingChebyshev functionChebyshev spline approximationMüntz functionVandermonde-type determinants


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)


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Constructing totally positive piecewise Chebyshevian B-spline bases, Sparse Pythagorean hodograph curves, Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines, The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions, The Hyers-Ulam stability constant for Chebyshevian Bernstein operators, Blossoming beyond extended Chebyshev spaces, Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials, Nested sequences of Chebyshev spaces and shape parameters



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